Yes, these types of policies pay lump sum benefits based on either death or full and partial dismemberment.
Examples of an accidental death include death by a car accident, falling off a roof or an on-the-job manufacturing accident.
A $50,000 AD&D policy can cost roughly $5 per month, and a $100,000 policy is closer to $10 per month. Many insurance companies do not vary the rates by age as the policies are 100% guaranteed acceptance for those in the qualifying ages.
Loss of one or two limbs would be an example of dismemberment. Many companies will consider the loss of two limbs for full lump sum payout. For example, both hands, both legs, or one hand and one leg could all potentially pay the full lump sum.